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ziro4ka [17]
2 years ago
10

Find the measure of the unknown segment (x) in each figure. Use theorem of tangent segment and secant segment.​

Mathematics
1 answer:
strojnjashka [21]2 years ago
4 0

Answer:

1.    x = 3√10     2.  x = 5      3.   x = 6√2

Step-by-step explanation:

Use <u>Intersecting Secant-Tangent Theorem</u>:

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

1.  In this circle, DB is a tangent and DA is a secant.  They intersect at point D.

So  DB² = DC x DA

    x² = 5 x (5 + 13)

    x² = 90

     x = √90 = 3√10

2.  In this circle, FE is a tangent and FH is a secant.  They intersect at point F.

So  FE² = FG x FH

      10² = x x 20

     100 = 20x

         x = 5

3.  In this circle, NM is a tangent and NP is a secant.  They intersect at point N.

So  NM² = NO x NP

    x² = 4 x (4 + 14)

    x² = 72

     x = √72 = 6√2

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James invested $300 in a bank account that earns simple interest. He earns $24 at the end of 12 months. James invests $500 at th
NARA [144]

Answer: $40

Step-by-step explanation:

The key formula to use for this problem is the simple interest formula, which is I=prt ; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.

Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate:  r=I/pt. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.

We should now have: r=\frac{24}{300*1}=0.08

Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of I=prt

This should result in I=500*0.08*1=40

Therefore, James will receive $40 on his $500 investment after 12 months.

4 0
3 years ago
HELP ASAPPPP!!!BRAINLEST WILL BE GIVEN!!! ​
liraira [26]

Answer:

30 days

Step-by-step explanation:

The common multiples of 15 and 6 are 30, 60, 90 etc and because it increases by 30 each time we can find out that he will play both football and basketball together in thirty days!

8 0
2 years ago
The results of a car race are shown. How much faster did Evans drive per lap than loza?
Lelechka [254]
Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins

Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins

2,70 mins - 2,30 mins
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3 years ago
Help will give Brainliest.
Luden [163]

no because you are not distributing numbers that multiply with each other and form new expressions

5 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%20-%208y%20%5Cgeqslant%2056" id="TexFormula1" title=" - 8y \geqslant 56" alt=" - 8y \geqslant
SCORPION-xisa [38]

Answer:

y ≤-7

Step-by-step explanation:

-8y ≥56

Divide each side by -8.  Remember to flip the inequality

-8y/-8 ≤56/-8

y ≤-7

8 0
3 years ago
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